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Finding the Third Proportional to 162,436.22 and 249,997.64

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Solution

The third proportional to 162,436.22 and 249,997.64 is: 384,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,436.22 : 249,997.64 = 249,997.64 : x
  2. Step 2: Convert to fraction form
    162,436.22/249,997.64 = 249,997.64/x
  3. Step 3: Cross multiply
    162,436.22x = 249,997.64 × 249,997.64
  4. Step 4: Simplify right side
    162,436.22x = 62,498,820,318.07
  5. Step 5: Solve for x
    x = 62,498,820,318.07/162,436.22
  6. Step 6: Final answer
    x = 384,759.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.